(New page: == The Z-Transform == Similar to the Laplace Transform, the Z-Transform is an extension of the Fourier Transform, in this case the DT Fourier Transform. As previously defined, the respons...) |
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== The Z-Transform == | == The Z-Transform == | ||
| − | Similar to the Laplace Transform, the Z-Transform is an extension of the Fourier Transform, in this case the DT Fourier Transform. As previously defined, the response, <math>y[n]!</math>, of a DT LTI system is <math>y[n] = H(z)z^n!</math>, where <math>H(z) = \sum^{\infty}_{n = -\infty} h[n]z^{-n}!</math> | + | Similar to the Laplace Transform, the Z-Transform is an extension of the Fourier Transform, in this case the DT Fourier Transform. As previously defined, the response, <math>y[n]\!</math>, of a DT LTI system is <math>y[n] = H(z)z^n\!</math>, where <math>H(z) = \sum^{\infty}_{n = -\infty} h[n]z^{-n}\!</math> |
Revision as of 16:18, 3 December 2008
The Z-Transform
Similar to the Laplace Transform, the Z-Transform is an extension of the Fourier Transform, in this case the DT Fourier Transform. As previously defined, the response, $ y[n]\! $, of a DT LTI system is $ y[n] = H(z)z^n\! $, where $ H(z) = \sum^{\infty}_{n = -\infty} h[n]z^{-n}\! $
